94 lines
3 KiB
C
94 lines
3 KiB
C
#ifndef _BGC_UTILITIES_H_
|
|
#define _BGC_UTILITIES_H_
|
|
|
|
#define BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 1.0f
|
|
|
|
#define BGC_EPSYLON_FP32 4.76837E-7f
|
|
#define BGC_SQUARE_EPSYLON_FP32 2.27373906E-13f
|
|
|
|
#define BGC_ONE_THIRD_FP32 0.3333333333f
|
|
#define BGC_ONE_SIXTH_FP32 0.1666666667f
|
|
#define BGC_ONE_SEVENTH_FP32 0.142857142857f
|
|
#define BGC_ONE_NINETH_FP32 0.1111111111f
|
|
|
|
#define BGC_ARCCOSINE_PRECISION_LIMIT_FP32 0.70711f
|
|
|
|
#define BGC_GOLDEN_RATIO_HIGH_FP32 1.618034f
|
|
#define BGC_GOLDEN_RATIO_LOW_FP32 0.618034f
|
|
|
|
#define BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 1.0
|
|
|
|
#define BGC_EPSYLON_FP64 4.996003611E-14
|
|
#define BGC_SQUARE_EPSYLON_FP64 2.496005208112504E-27
|
|
|
|
#define BGC_ONE_THIRD_FP64 0.3333333333333333333
|
|
#define BGC_ONE_SIXTH_FP64 0.1666666666666666667
|
|
#define BGC_ONE_SEVENTH_FP64 0.142857142857142857
|
|
#define BGC_ONE_NINETH_FP64 0.1111111111111111111
|
|
|
|
#define BGC_GOLDEN_RATIO_HIGH_FP64 1.61803398874989485
|
|
#define BGC_GOLDEN_RATIO_LOW_FP64 0.61803398874989485
|
|
|
|
inline int bgc_is_zero_fp32(const float value)
|
|
{
|
|
return (-BGC_EPSYLON_FP32 <= value) && (value <= BGC_EPSYLON_FP32);
|
|
}
|
|
|
|
inline int bgc_is_zero_fp64(const double value)
|
|
{
|
|
return (-BGC_EPSYLON_FP64 <= value) && (value <= BGC_EPSYLON_FP64);
|
|
}
|
|
|
|
|
|
inline int bgc_is_unit_fp32(const float value)
|
|
{
|
|
return (1.0f - BGC_EPSYLON_FP32 <= value) && (value <= 1.0f + BGC_EPSYLON_FP32);
|
|
}
|
|
|
|
inline int bgc_is_unit_fp64(const double value)
|
|
{
|
|
return (1.0 - BGC_EPSYLON_FP64 <= value) && (value <= 1.0 + BGC_EPSYLON_FP64);
|
|
}
|
|
|
|
|
|
inline int bgc_is_sqare_unit_fp32(const float square_value)
|
|
{
|
|
return (1.0f - 2.0f * BGC_EPSYLON_FP32 <= square_value) && (square_value <= 1.0f + 2.0f * BGC_EPSYLON_FP32);
|
|
}
|
|
|
|
inline int bgc_is_sqare_unit_fp64(const double square_value)
|
|
{
|
|
return (1.0 - 2.0 * BGC_EPSYLON_FP64 <= square_value) && (square_value <= 1.0 + 2.0 * BGC_EPSYLON_FP64);
|
|
}
|
|
|
|
// ================== Are Close ================= //
|
|
|
|
inline int bgc_are_close_fp32(const float value1, const float value2)
|
|
{
|
|
const float difference = value1 - value2;
|
|
const float square_value1 = value1 * value1;
|
|
const float square_value2 = value2 * value2;
|
|
const float square_difference = difference * difference;
|
|
|
|
if (square_value1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32 || square_value2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP32) {
|
|
return square_difference <= BGC_SQUARE_EPSYLON_FP32;
|
|
}
|
|
|
|
return square_difference <= BGC_SQUARE_EPSYLON_FP32 * square_value1 && square_difference <= BGC_SQUARE_EPSYLON_FP32 * square_value2;
|
|
}
|
|
|
|
inline int bgc_are_close_fp64(const double value1, const double value2)
|
|
{
|
|
const double difference = value1 - value2;
|
|
const double square_value1 = value1 * value1;
|
|
const double square_value2 = value2 * value2;
|
|
const double square_difference = difference * difference;
|
|
|
|
if (square_value1 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64 || square_value2 <= BGC_EPSYLON_EFFECTIVENESS_LIMIT_FP64) {
|
|
return square_difference <= BGC_SQUARE_EPSYLON_FP64;
|
|
}
|
|
|
|
return square_difference <= BGC_SQUARE_EPSYLON_FP64 * square_value1 && square_difference <= BGC_SQUARE_EPSYLON_FP64 * square_value2;
|
|
}
|
|
|
|
#endif
|